How do i use the blockcolors and ItemColors with my TileEntity

Hello

I have registered a Tileentity:

public static final DeferredRegister<TileEntityType<?>> TILE_ENTITY_TYPES = new DeferredRegister<>(ForgeRegistries.TILE_ENTITIES, Reference.MOD_ID);
    
    public static final RegistryObject<TileEntityType<BlockColorsTileEntity>> BLOCK_COLORS = TILE_ENTITY_TYPES.register("block_colors", () -> TileEntityType.Builder.create(BlockColorsTileEntity::new,
                        AngryBirdsBlocks.SLINGSHOT_BIRCH.get(),
                        AngryBirdsBlocks.SLINGSHOT_BIRCH_2.get(),
                        AngryBirdsBlocks.SLINGSHOT_BIRCH.get(),
                        AngryBirdsBlocks.SLINGSHOT_BIRCH_2.get(),
                        AngryBirdsBlocks.SLINGSHOT_DARK_OAK.get(),
                        AngryBirdsBlocks.SLINGSHOT_DARK_OAK_2.get(),
                        AngryBirdsBlocks.SLINGSHOT_JUNGLE.get(),
                        AngryBirdsBlocks.SLINGSHOT_JUNGLE_2.get(),
                        AngryBirdsBlocks.SLINGSHOT_OAK.get(),
                        AngryBirdsBlocks.SLINGSHOT_OAK_2.get(),
                        AngryBirdsBlocks.SLINGSHOT_SPRUCE.get(),
                        AngryBirdsBlocks.SLINGSHOT_SPRUCE_2.get()).build(null));

Here is the class ot the TileEntity:

package drachenbauer32.angrybirdsmod.entities.tile_entities;

import drachenbauer32.angrybirdsmod.init.AngryBirdsTileEntities;
import net.minecraft.nbt.CompoundNBT;
import net.minecraft.tileentity.TileEntity;

public class BlockColorsTileEntity extends TileEntity
{
    public BlockColorsTileEntity()
    {
        super(AngryBirdsTileEntities.BLOCK_COLORS.get());
    }
    
    @Override
    public void read(CompoundNBT compound)
    {
        super.read(compound);
    }
    
    @Override
    public CompoundNBT write(CompoundNBT compound)
    {
        return super.write(compound);
    }
}

I also registered Blockcolors and ItemColors:

@SubscribeEvent
        public static void registerBlockColors(final ColorHandlerEvent.Block event)
        {
            event.getBlockColors().register(blockColor, AngryBirdsBlocks.SLINGSHOT_BIRCH.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_BIRCH_2.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_BIRCH.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_BIRCH_2.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_DARK_OAK.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_DARK_OAK_2.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_JUNGLE.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_JUNGLE_2.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_OAK.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_OAK_2.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_SPRUCE.get(),
                                                        AngryBirdsBlocks.SLINGSHOT_SPRUCE_2.get());
        }
        
        @SubscribeEvent
        public static void registerItemColors(final ColorHandlerEvent.Item event)
        {
            event.getItemColors().register(itemColor, AngryBirdsItems.SLINGSHOT_BIRCH.get(),
                                                      AngryBirdsItems.SLINGSHOT_BIRCH_2.get(),
                                                      AngryBirdsItems.SLINGSHOT_BIRCH.get(),
                                                      AngryBirdsItems.SLINGSHOT_BIRCH_2.get(),
                                                      AngryBirdsItems.SLINGSHOT_DARK_OAK.get(),
                                                      AngryBirdsItems.SLINGSHOT_DARK_OAK_2.get(),
                                                      AngryBirdsItems.SLINGSHOT_JUNGLE.get(),
                                                      AngryBirdsItems.SLINGSHOT_JUNGLE_2.get(),
                                                      AngryBirdsItems.SLINGSHOT_OAK.get(),
                                                      AngryBirdsItems.SLINGSHOT_OAK_2.get(),
                                                      AngryBirdsItems.SLINGSHOT_SPRUCE.get(),
                                                      AngryBirdsItems.SLINGSHOT_SPRUCE_2.get());
        }

And in the SlingshotBlock-class, connected the TileEntity:

    @Override
    public boolean hasTileEntity(BlockState state)
    {
        return true;
    }
    
    @Override
    public TileEntity createTileEntity(BlockState state, IBlockReader world)
    {
        return new BlockColorsTileEntity();
    }

How do i now store color-values in the TileEntity and how do i apply them to the textures of the Block and it´s BlockItem?

The Item uses a 3d block-model and and not a simple flat item-model.

How do i apply the color just to a part of the model (i use separate textures)